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In this paper, we establish the existence of infinitely many nonradial solutions to superlinear elliptic problems by employing critical points of higher Morse index associated with the energy functional, combined with uniqueness results for nodal solutions with a prescribed number of zeros.

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Multiplicity of Nonradial Solutions for Elliptic Problems via an Abstract Approach and Uniqueness of Nodal Radial Solutions

  • 会议论文

  • 发表日期：

    2026年

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  • Hugo Aduén,
  • Sigifredo Herrón

摘要

In this paper, we establish the existence of infinitely many nonradial solutions to superlinear elliptic problems by employing critical points of higher Morse index associated with the energy functional, combined with uniqueness results for nodal solutions with a prescribed number of zeros.